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Grade: 11

                        

Q.25Suppose that a sample of gas expands from 2.0 to 8.0 m 3 along the diagonal path in the pV diagram shown in Fig. 23.33. It is then compressed back to 2.0 m 3 along cither path 1 or path 2. Compute the net work done on the gas for th4 complete cycle in each case.

5 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
							Combining two paths, we will get a rectangle. The diagonal of the rectangle will create two right angel triangles. So the area will be same for each path.
The area A of the rectangle is,
232-1797_1.PNG

So the area of path 1 which is in the direction counterclockwise will be -45 J. It signifies that the work done on the gas will be – (-45 kJ) or 45 kJ. Thus the work done on the gas for path 2 will be the negative of path 1, as it is in the clockwise direction. Therefore the area for path 2 will be 45 kJ.
5 years ago
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